English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We use tools from $q$-calculus to study $LDL^T$ decomposition of theVandermonde matrix $V_q$ with coefficients $v_{i,j}=q^{ij}$. We prove that thematrix $L$ is given as a product of diagonal matrices and the lower triangularToeplitz matrix $T_q$ with coefficients $t_{i,j}=1/(q;q)_{i-j}$, where$(z;q)_k$ is the q-Pochhammer symbol. We investigate some properties of thematrix $T_q$, in particular, we compute explicitly the inverse of this matrix.

Using $q$-calculus to study $LDL^T$ factorization of a certain Vandermonde matrix